45 citations · 71 across the 9 of their papers we have counts for
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3 papers · 1 filter
math.CO2005
Geodesic Distance in Planar Graphs: An Integrable Approach
P. Di Francesco
We discuss the enumeration of planar graphs using bijections with suitably decorated trees, which allow for keeping track of the geodesic distances between faces of the graph. The…
math.CO2004★ 1 cited
Planar maps as labeled mobiles
J. Bouttier, P. Di Francesco, E. Guitter
We extend Schaeffer's bijection between rooted quadrangulations and well-labeled trees to the general case of Eulerian planar maps with prescribed face valences, to obtain a biject…
math.CO2003★ 1 cited
A Bijection between classes of Fully Packed Loops and Plane Partitions
P. Di Francesco, P. Zinn-Justin, J. -B. Zuber
It has recently been observed empirically that the number of FPL configurations with 3 sets of a, b and c nested arches equals the number of plane partitions in a box of size a x b…